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Finding the Fourth Proportional to 8,082.49, 12,131.07 and 3,406

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Solution

The fourth proportional to 8,082.49, 12,131.07 and 3,406 is: 5,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.49 : 12,131.07 = 3,406 : x
  2. Step 2: Convert to fraction form
    8,082.49/12,131.07 = 3,406/x
  3. Step 3: Cross multiply
    8,082.49x = 12,131.07 × 3,406
  4. Step 4: Simplify right side
    8,082.49x = 41,318,424.42
  5. Step 5: Solve for x
    x = 41,318,424.42/8,082.49
  6. Step 6: Final answer
    x = 5,112.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.